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Finding the Third Proportional to 37,047,059,024.50 and 49,985,180,648

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Solution

The third proportional to 37,047,059,024.50 and 49,985,180,648 is: 67,441,744,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047,059,024.50 : 49,985,180,648 = 49,985,180,648 : x
  2. Step 2: Convert to fraction form
    37,047,059,024.50/49,985,180,648 = 49,985,180,648/x
  3. Step 3: Cross multiply
    37,047,059,024.50x = 49,985,180,648 × 49,985,180,648
  4. Step 4: Simplify right side
    37,047,059,024.50x = 2,498,518,284,413,193,682,944
  5. Step 5: Solve for x
    x = 2,498,518,284,413,193,682,944/37,047,059,024.50
  6. Step 6: Final answer
    x = 67,441,744,370.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.